Characterizations of a helicoid and a catenoid
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초록

In the present article, we consider a parametric surface generated by the Frenet frame of a curve, and study the minimality condition for the surface. As a result, we give characterizations of a helicoid and a catenoid. Finally we show some examples of minimal surfaces generated by a circle and a helix.

키워드

minimal surfacecatenoidhelicoidmarching-scale functionSURFACES
제목
Characterizations of a helicoid and a catenoid
저자
Yuzbasi, Zuhal KucukarslanYoon, Dae Won
DOI
10.15672/hujms.881876
발행일
2022-08
유형
Article
저널명
Hacettepe Journal of Mathematics and Statistics
51
4
페이지
1005 ~ 1012